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Finding the Third Proportional to 85,702 and 177,362

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Solution

The third proportional to 85,702 and 177,362 is: 367,054.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,702 : 177,362 = 177,362 : x
  2. Step 2: Convert to fraction form
    85,702/177,362 = 177,362/x
  3. Step 3: Cross multiply
    85,702x = 177,362 × 177,362
  4. Step 4: Simplify right side
    85,702x = 31,457,279,044
  5. Step 5: Solve for x
    x = 31,457,279,044/85,702
  6. Step 6: Final answer
    x = 367,054.20

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.